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Finding the Third Proportional to 167,924 and 282,017

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Solution

The third proportional to 167,924 and 282,017 is: 473,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,924 : 282,017 = 282,017 : x
  2. Step 2: Convert to fraction form
    167,924/282,017 = 282,017/x
  3. Step 3: Cross multiply
    167,924x = 282,017 × 282,017
  4. Step 4: Simplify right side
    167,924x = 79,533,588,289
  5. Step 5: Solve for x
    x = 79,533,588,289/167,924
  6. Step 6: Final answer
    x = 473,628.48

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.